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Dmitrij [34]
2 years ago
6

Help please!!

Mathematics
1 answer:
yanalaym [24]2 years ago
8 0

Answer:  (1,-1)

Step-by-step explanation:

Midpoint of BC=(6+4)/2, (3–1)/2. =(5,1)

Slope of BC is (3+1)/4–6)= 4/-2 = -2

Slope of perpendicular bisector of BC =+1/2

Eqn of perpendicular bisector is : Y-1 =1/2 (x-5)

Y=1/2 •(x-5) +1

Midpoint of AB. (6–2)/2, (3–1)/2 ={2,1)

Slope of AB is(3+1)/(-2–6) = 4/-8 =-1/2

Slope of perpendicular bisector = +2

Eqn of perpendicular bisector is Y-1. =2( X-2)

Y=2X-4+1 = 2X -3

Solving Y=(X-5)/2 +1

& Y=2X-3

2X-3 =(x-5/2)+1

2X-4 =(x-5/2)

4X-8 = x-5

3X =3

X=1

Y= 2×1–3= -1

Circumcentre is(1,-1)

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Answer:

The best option for him would be a real interest rate of 5%.

Step-by-step explanation:

The nominal interest rate is the one that represents the percentage of increase of the money that is in a certain investment, without discounting the depreciation due to inflation or the payment of taxes.

On the other hand, the real interest rate is the one that represents the real increase in the money invested, after discounting inflation and any taxes to be paid.

Therefore, the best option for Oscar would be to invest his $ 4,000 in a savings account with a real interest rate of 5% per year.

4 0
3 years ago
What is 9/4 minus 4/3
ahrayia [7]

Answer:

Step-by-step explanation:27/12 - 16/12 = 11/12

4 0
3 years ago
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Please help i’ll mark brainliest!!!!!!
dangina [55]

Answer:

Width = 2x²

Length = 10

Step-by-step explanation:

The greatest common monomial factor of 14x² and 6x² is 2x² so the width is 2x².

Width = 2x²

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6 0
3 years ago
Which two ratios form a proportion?
s2008m [1.1K]

Answer:

02:3 and 12:18

Step-by-step explanation:

A proportion is formed when the larger ratio can be simplified to equal the smaller ratio:

#1

02:3 and 4:12

Reducing the larger ratio: 4:12=1:3

Hence, not a proportion.

#2

02:3 and 6:12

Reducing the larger ratio: 6:12=1:2

Hence, not a proportion.

#3

02:3 and 12:18

Reducing the larger ratio: 12:18=2:3

Hence, they form a proportion.

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4 0
3 years ago
Please help me on this question
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Answer:

DE = 13.4 cm  (to 1 decimal place)

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E is midpoint of BC   (given)

BE = EC  = 12/2 = 6 cm

CD = AB = 12 cm   (opposite sides of a square are congruent)

angle ECD is a right angle (interior angles of a square are 90 deg.)

Consider right triangle ECD

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= sqrt(6^2+12^2)

= sqrt ( 36+144 )

= sqrt (180)

= 2 sqrt(45)

= 13.416 (to three dec. places)

8 0
3 years ago
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